Chapter 3, Problem 157AP

Potash is any potassium mineral that is used for its potassium content. Most of the potash produced in the United States goes into fertilizer. The major sources of potash are potassium chloride $\left(\text{KCl}\right)$ and potassium sulfate ${\text{(K}}_{\text{2}}{\text{SO}}_{\text{4}}\text{)}$. Potash production is often reported as the potassium oxide ${\text{(K}}_{\text{2}}\text{O)}$ equivalent or the amount of ${\text{K}}_{\text{2}}\text{O}$ that could be made from a given mineral. (a) If $\text{KCl}$ costs $0.55 per kg, for what price (dollar per kg) must ${\text{K}}_{\text{2}}{\text{SO}}_{\text{4}}$ be sold to supply the same amount of potassium on a per dollar basis? (b) What mass (in kg) of ${\text{K}}_{\text{2}}\text{O}$ contains the same number of moles of K atoms as 1.00 kg of KG?